Study topological field theories

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Discussion Overview

The discussion revolves around the study of topological field theories (TQFT), focusing on resources and recommendations for beginners in the field. Participants share their experiences and suggest various texts and materials that may be helpful for understanding TQFT from both mathematical and physical perspectives.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant seeks specialized books on topological field theories, expressing difficulty in finding suitable resources.
  • Another participant mentions Witten's lectures on TQFT as a potential resource.
  • A third participant recalls studying TQFT using a textbook by Michel Atiyah and recommends "Differential Topology and Quantum Field Theory," noting its readability and relevance.
  • There is a request for clarification on whether the interest in TQFT is more mathematical or physical, which may influence resource recommendations.
  • One participant expresses that Witten's articles are inaccessible for beginners and mentions starting to read Nash's book, indicating a preference for a gradual approach to learning.
  • There is a question about the appropriateness of the sequence of courses in Nash's book and whether there are other online resources available.

Areas of Agreement / Disagreement

Participants do not reach a consensus on specific resources, and multiple viewpoints regarding the best approach to studying TQFT remain. There is also uncertainty about the accessibility of recommended materials for beginners.

Contextual Notes

Some participants express limitations in their understanding of advanced materials, indicating a need for more beginner-friendly resources. The discussion reflects varying levels of familiarity with the subject matter and differing focuses on mathematical versus physical aspects of TQFT.

Who May Find This Useful

Individuals interested in studying topological field theories, particularly beginners seeking guidance on resources and learning paths in both mathematical and physical contexts.

astros
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hello,
I have just started to study topological field theories but my problem is that I do not find of books really specialized in the subject, can somebody inform me what I must do?
 
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Doesn't Witten have some lectures on TQFT?
 
I studied it when the topic first appeared. I used a textobook by Michel Aityah and a few reports (which I seriously doubt would be available online).

Also the book "Differenteial topology and quantum field theory dedicates it´s last chapter to thtat subject and it is very readable (I recommend the whole book instead).

It would be interesting, for further recomendations, if you would say if your main interest in the subject is from the mathemathical or the phyisical viewpoint.
 
hello and thank you for your assistance
Emmanuel114:
quite sour that I have all the articles of Witten but they are rather innaccessibles for a beginner (in any case for me they are!)
Sauron:
the book of which you speak is surely that of nash, I have started to read it, but it is necessary to look at other references progressively. my interest is initially mathematical, and once this side maitrized I would see physical side!
than, is the sequence of courses in this book the best for me? or are there any other source in the net?
 

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